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The cosmological memory effect is a permanent change in the relative separation of test particles located in a FLRW spacetime due to the passage of gravitational waves. In the case of a spatially flat FLRW spacetime filled with a perfect…

General Relativity and Quantum Cosmology · Physics 2022-07-20 Mohammad Ali Gorji , Taisuke Matsuda , Shinji Mukohyama

In modified gravity models that allow for additional non-compact spacetime dimensions, energy from gravitational waves can leak into these extra spacetime dimensions, leading to a reduction in the amplitude of the observed gravitational…

High Energy Astrophysical Phenomena · Physics 2021-12-15 Ignacio Magana Hernandez

Particles at rest before the arrival of a burst of gravitational wave move, after the wave has passed, with constant velocity along diverging geodesics. As recognized by Souriau 50 years ago and then forgotten, their motion is particularly…

General Relativity and Quantum Cosmology · Physics 2025-05-20 M. Elbistan , P. -M. Zhang , P. A. Horvathy

In the present paper we study the geodesic motion of test particles and light rays in the spacetime of a static charged black hole in $f(R)$ gravity. The complete set of analytic solutions of the geodesic equations in the spacetime of this…

General Relativity and Quantum Cosmology · Physics 2016-07-21 Saheb Soroushfar , Reza Saffari , Saskia Grunau

New theoretical approaches developed in the last years predict that macroscopic quantum gravity effects in black holes should lead to modifications of the gravitational wave signals expected in the framework of classical general relativity,…

General Relativity and Quantum Cosmology · Physics 2018-02-13 Carlos Barceló , Raúl Carballo-Rubio , Luis J. Garay

The detection of gravitational waves (GWs) propagating through cosmic structures can provide invaluable information on the geometry and content of our Universe, as well as on the fundamental theory of gravity. In order to test possible…

General Relativity and Quantum Cosmology · Physics 2020-11-25 Alice Garoffolo , Gianmassimo Tasinato , Carmelita Carbone , Daniele Bertacca , Sabino Matarrese

The gravitational memory effect leads to a net displacement in the relative positions of test particles. This memory is related to the change in the strain of the gravitational radiation field between infinite past and infinite future…

General Relativity and Quantum Cosmology · Physics 2016-08-03 Thomas Mädler , Jeffrey Winicour

In Ref. [1], the spacetime geometry generated by compact objects in $(2+1)$-dimensional Bopp-Podolsky electrodynamics is derived. Using a perturbative approach, the authors derived a charged BTZ-like black hole solution and computed…

General Relativity and Quantum Cosmology · Physics 2025-07-16 Faizuddin Ahmed , Ahmad Al-Badawi , Abdelmalek Bouzenada , Erdem Sucu , İzzet Sakallı

Motivated by the newest progress in geometric flows both in mathematics and physics, we apply the geometric evolution equation to study some black-hole problems. Our results show that, under certain conditions, the geometric evolution…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Fu-Wen Shu , You-Gen Shen

In this paper we consider the implications that the effect gravitational memory would have on primordial black holes, within the theoretical context of $F(R)$ related scalar-tensor theories. As we will demonstrate, under the assumption that…

General Relativity and Quantum Cosmology · Physics 2015-06-19 V. K. Oikonomou

During the coalescence of binary black holes (BBHs), asymmetric gravitational wave (GW) emission imparts a kick velocity to the remnant black hole, affecting observed waveforms and parameter estimation. In this study, we investigate the…

General Relativity and Quantum Cosmology · Physics 2025-07-22 Jie Wu , Mengfei Sun , Xianghe Ma , Xiaolin Liu , Jin Li , Zhoujian Cao

We construct a mathematically controlled correspondence between the electric and magnetic parts of the Weyl tensor in vacuum general relativity and the kinematics of a micropolar (Cosserat) elastic medium. In this framework, gravitational…

General Relativity and Quantum Cosmology · Physics 2026-05-06 David Izabel

Zel'dovich and Polnarev, in their seminal paper [1] suggested that a gravitational wave generated by flyby would merely displace the particles. We confirm their prediction numerically by fine-tuning the wave profile proposed by Gibbons and…

General Relativity and Quantum Cosmology · Physics 2025-05-20 P. -M. Zhang , Q. -L. Zhao , J. Balog , P. A. Horvathy

Memory of gravitational waves in asymptotically-flat spacetimes that are solutions of the Einstein vacuum equations is of purely electric parity, no magnetic parity memory can occur. We show this by investigating what happens for various…

General Relativity and Quantum Cosmology · Physics 2019-01-02 Lydia Bieri

In this paper, we investigate periodic bound orbits and gravitational wave (GW) emission in the Schwarzschild-Bertotti-Robinson (Schwarzschild-BR) spacetime-an exact electrovacuum solution describing a static black hole (BH) immersed in a…

General Relativity and Quantum Cosmology · Physics 2026-02-11 Tursunali Xamidov , Sanjar Shaymatov , Qiang Wu , Tao Zhu

Starting with the conceptual foundation of general relativity (GR) - equivalence principle, space-time geometry and special relativity, I train cross hairs on two characteristic predictions of GR - black holes and gravitational waves. These…

General Relativity and Quantum Cosmology · Physics 2015-09-23 Patrick Das Gupta

Gravitational wave memory effects arise from non-oscillatory components of gravitational wave signals, and they are predictions of general relativity in the nonlinear regime that have close connections to the asymptotic properties of…

General Relativity and Quantum Cosmology · Physics 2024-04-30 Alexander M. Grant , David A. Nichols

We study horizon shells and soldering freedom for extreme black holes and how supertranslation-like Bondi-Metzner-Sachs (BMS) symmetries appear as soldering transformations. Further, for a null shell placed infinitesimally close to the…

High Energy Physics - Theory · Physics 2020-09-02 Srijit Bhattacharjee , Shailesh Kumar

The coalescences of stellar-mass black-hole binaries through their inspiral, merger, and ringdown are among the most promising sources for ground-based gravitational-wave (GW) detectors. If a GW signal is observed with sufficient…

We consider the motion of test particles in the spacetime of a black hole in f(R) gravity. The complete set of analytic solutions of the geodesic equation in the spacetime of this black hole are presented. The geodesic equations are solved…

General Relativity and Quantum Cosmology · Physics 2015-08-19 Saheb Soroushfar , Reza Saffari , Jutta Kunz , Claus Lämmerzahl